explain 8 4/5 + 6 11/16 + 23 2/3 — step-by-step solution

⚠ 8 4/5 is read as the mixed number 8 + 4/5

⚠ 6 11/16 is read as the mixed number 6 + 11/16

Let's calculate:

8

+ \frac{4}{5}

+ 6

+ \frac{11}{16}

+ 23

+ \frac{2}{3}

ℹ

8 + 6

14

14

+ \frac{4}{5}

+ \frac{11}{16}

+ 23

+ \frac{2}{3}

ℹ

14 + 23

37

37

+ \frac{4}{5}

+ \frac{11}{16}

+ \frac{2}{3}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{4}{5} + \frac{11}{16}

\frac{4 \times 16 + 11 \times 5}{5 \times 16}

37 + \frac{4 \times 16 + 11 \times 5}{5 \times 16} + \frac{2}{3}

ⓘMultiplications are done before additions and subtractions:

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

‖

5 \times 16

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

37 + \frac{64 + 55}{80} + \frac{2}{3}

ⓘThe numerator and the denominator are computed before the division:

64 + 55

119

37 + \frac{119}{80} + \frac{2}{3}

ℹ

\frac{119}{80} + \frac{2}{3}

\frac{119 \times 3 + 2 \times 80}{80 \times 3}

37 + \frac{119 \times 3 + 2 \times 80}{80 \times 3}

ⓘ

119 \times 3

(100 + 10 + 9) \times 3

100 \times 3 + 10 \times 3 + 9 \times 3

300 + 30 + 27

357

ℹ

2 \times 80

160

‖

80 \times 3

240

37 + \frac{357 + 160}{240}

ℹ

357 + 160

517

37 + \frac{517}{240}

ⓘThe fraction

\frac{517}{240}

is greater than 1: add its integer part

2

to the whole part:

\frac{517}{240} + 37

39 + \frac{37}{240}

▶Result:

39

\frac{37}{240}

The approximate value of:

39 + \frac{37}{240}

is:

39 + \approx 0.1542

▷

\approx 39.1542